1,682,435

5 × 29 × 41 × 283

Starting at 1,682,435, the Collatz iteration reaches 1 after 132 steps. The first transition is 5047306; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 41 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,147,040

Proper Divisor Sum 464,605

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1682423 ← → #1682449

Radix Representation

Decimal	1682435
Binary	110011010110000000011 (21 bits)
Octal	0o6326003
Hexadecimal	0x19AC03

Divisor Catalog (16)

1 5 29 41 145 205 283 1,189 1,415 5,945 8,207 11,603 41,035 58,015 336,487 1,682,435

Collatz Trajectory (132 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,682,435 5,047,306 2,523,653 7,570,960 3,785,480 1,892,740 946,370 473,185 1,419,556 709,778 354,889 1,064,668 532,334 266,167 798,502 399,251 1,197,754 598,877 1,796,632 898,316 449,158 224,579 673,738 336,869 1,010,608 505,304 252,652 126,326 63,163 189,490 94,745 284,236 142,118 71,059 213,178 106,589 319,768 159,884 79,942 39,971 119,914 59,957 179,872 89,936 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781

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